Solve for b 17.7=-1.8+b/0.2

$17.7 = - 1.8 + \frac{b}{0.2}$

Rewrite the equation as $- 1.8 + \frac{b}{0.2} = 17.7$ .

$- 1.8 + \frac{b}{0.2} = 17.7$

Simplify each term.

Multiply by $1$ .

$- 1.8 + \frac{1 b}{0.2} = 17.7$

Factor $0.2$ out of $0.2$ .

$- 1.8 + \frac{1 b}{0.2 (1)} = 17.7$

Separate fractions.

$- 1.8 + \frac{1}{0.2} \cdot \frac{b}{1} = 17.7$

Divide $1$ by $0.2$ .

$- 1.8 + 5 \frac{b}{1} = 17.7$

Divide $b$ by $1$ .

$- 1.8 + 5 b = 17.7$

Move all terms not containing $b$ to the right side of the equation.

Add $1.8$ to both sides of the equation.

$5 b = 17.7 + 1.8$

Add $17.7$ and $1.8$ .

$5 b = 19.5$

Divide each term in $5 b = 19.5$ by $5$ and simplify.

Divide each term in $5 b = 19.5$ by $5$ .

$\frac{5 b}{5} = \frac{19.5}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 b}{5} = \frac{19.5}{5}$

Divide $b$ by $1$ .

$b = \frac{19.5}{5}$

Simplify the right side.

Divide $19.5$ by $5$ .

$b = 3.9$